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Journals / Türk Doğa ve Fen Dergisi / 2026 / Cilt: 11 Sayı: 2

The Examples of Generators of 2-cob Cobordisms in Semi-Riemannian Space R(3,1)

R(3,1) Semi-Riemannian Uzayda 2-Cob Üreteç Kobordizm Örnekleri

Muhsin İncesu(MUS ALPARSLAN UNIVERSITY)0000-0003-2515-9627
Sara Işık(MUŞ ALPARSLAN ÜNİVERSİTESİ)0000-0002-4058-3277
Pages
99–106
Publication Date
2022-06-29
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Their codaira dimensions and k (U) invariants of these examples has been expressed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In their book published in 1996, Duggal and Bejancu demonstrated the existence of a lightlike (null) subspace in a semi-Riemannian manifold and filled an important gap needed for the geometry of submanifolds.
📊
Key Findings & Data:In addition to birational invariants such as uniruledness and kodaira dimensions for Semi-Riemannian manifolds, in this study, by emphasizing the k (U) values which are the numbers of maximum linearly independent lightlike vectors, that are a birational invariance, the examples of generators of 2- Cob cobordisms are given in Semi-Riemannian Space R(3,1).
💡
Conclusion & Impact:Their codaira dimensions and k (U) invariants of these examples has been expressed.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Kobordizm · Birasyonel invaryant · Semi-Riemannian manifold

Abstract

In their book published in 1996, Duggal and Bejancu demonstrated the existence of a lightlike (null) subspace in a semi-Riemannian manifold and filled an important gap needed for the geometry of submanifolds. In addition to birational invariants such as uniruledness and kodaira dimensions for Semi-Riemannian manifolds, in this study, by emphasizing the k (U) values which are the numbers of maximum linearly independent lightlike vectors, that are a birational invariance, the examples of generators of 2- Cob cobordisms are given in Semi-Riemannian Space R(3,1). Their codaira dimensions and k (U) invariants of these examples has been expressed.

Özet

Duggal ve Bejancu 1996 da yayınladıkları kitapta bir semi-Riemannian manifoldda lightlike (null) alt uzayın varlığını gösterdiler ve alt manifoldların geometrisi için ihtiyaç duyulan önemli bir boşluğu doldurdular. Semi-Riemannian manifoldlar için unireglelik, kodaira boyutu gibi birasyonel invaryantların yanında maximum lineer bağımsız lightlike vektörlerin sayıları olan k(U) değerlerinin de bir birasyonel invaryant olduğu vurgıulanarak R31 Semi-Riemannian Uzayda 2-Cob Üreteç kobordizmlere örnekler verilmiş, bunların kodaira boyutları ve k(U) invaryantları ifade edilmiştir.

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Cite This Article

İncesu, M., Işık, S. (2022). The Examples of Generators of 2-cob Cobordisms in Semi-Riemannian Space R(3,1). Türk Doğa ve Fen Dergisi, Cilt: 11 Sayı: 2, 99–106. https://doi.org/10.46810/tdfd.808519

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